A note on a theorem of C. L. Siegel concerning Bessel's equation
Steven B. Bank (1982)
Compositio Mathematica
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Displaying similar documents to “Values of meromorphic functions of order 2”
A note on a theorem of C. L. Siegel concerning Bessel's equation
Algebraic dependences of meromorphic mappings sharing few moving hyperplanes
Si Duc Quang (2013)
Annales Polonici Mathematici
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We study algebraic dependences of three meromorphic mappings which share few moving hyperplanes without counting multiplicity.
Existence of meromorphic solutions of algebraic differential equations.
Ilpo Laine, Gary G. Gundersen (1990)
Mathematica Scandinavica
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Meromorphic Solutions of Higher Order System of Algebraic Differential Equations.
Li Kam Shun, Chan Wai Leung (1992)
Mathematica Scandinavica
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Value distribution of meromorphic functions and their derivatives
Alois Klíč (1975)
Časopis pro pěstování matematiky
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Two theorems on meromorphic functions used as a principle for proofs on irrationality
Thomas Nopper, Rolf Wallisser (2001)
Journal de théorie des nombres de Bordeaux
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In this paper we discuss two theorems on meromorphic functions of Nikishin and Chudnovsky. Our purpose is to show, how to derive some well-known but not obvious results on irrationality in a systematic and simple way from properties of meromorphic functions with arithmetic conditions. As far as it stands, we have no new results on irrationality, to the contrary some results on numbers of the corollaries are known already since a long time to be transcendental (cf. [4], [9] and [10])....
Dynamics of transcendental meromorphic functions.
Domínguez, Patricia (1998)
Annales Academiae Scientiarum Fennicae. Mathematica
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On the growth of algebroid solutions of algebraic differential equations.
Ilpo Laine, He Yuzan (1986)
Mathematica Scandinavica
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On certain transcendental functions
M. Krakowski (1970)
Applicationes Mathematicae
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On the growth of meromorphic solutions of linear and algebraic differential equations.
Ilpo Laine, Steven Bank (1977)
Mathematica Scandinavica
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Uniqueness of meromorphic functions when two linear differential polynomials share the same 1-points
Indrajit Lahiri (1999)
Annales Polonici Mathematici
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We prove a uniqueness theorem for meromorphic functions involving linear differential polynomials generated by them. As consequences of the main result we improve some previous results.
Comparative growth analysis of Wronskians in the light of their relative orders
Sanjib Kumar Datta, Tanmay Biswas, Ahsanul Hoque (2015)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
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In this paper we study the comparative growth properties of a composition of entire and meromorphic functions on the basis of the relative order (relative lower order) of Wronskians generated by entire and meromorphic functions.
Hyper-order and order of meromorphic functions sharing functions
Jianming Qi, Wenjun Yuan, Hongxun Yi (2015)
Annales Polonici Mathematici
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In this paper we mainly estimate the hyper-order of an entire function which shares one function with its derivatives. Some examples are given to show that the conclusions are meaningful.